# The curved surface area of cylinder is 154 cm square the total surface area is three times its curved surface area find the volume

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**T.S.A = 3*154 = 462 cm**²

**C.S.A = 154 cm**²

**C.S.A = 2πrh**

**T.S.A = 2πr(r+h)**

**Now,**

**In T.S.A = 2πrr + 2πrh**

**462 = 2πrr + 2πrh**

**462 = 2*22/7*r*r + 154 **

**462 – 154 = 2*22/7*r*r**

**308*7/2*22 = r*r**

**49 = r*r**

**R = 7 cm **

**Now,**

**C.S.A = 2πrh**

**154 = 2*22/7*7*h**

**154/44 = h **

** 7/2 =h**

**H = 3.5 cm or 7/2 cm **

**Now volume = πrrh**

**= 22/7 * 7* 7 *7/2**

**= 11*49**

**= 539 cm³**